But of all other stupendous inventions, what sublimity of mind must have been his who conceived how to communicate his most secret thoughts to any other person, though very far distant either in time or place? And with no greater difficulty than the various arrangement of two dozen little signs upon paper? Let this be the seal of all the admirable inventions of man.
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The earth, in fair and grateful exchange, pays back to the moon an illumination similar to that which it receives from her throughout nearly all the darkest gloom of the night.
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That sculpture is more admirable than painting for the reason that it contains relief and painting does not is completely false. ... Rather, how much more admirable the painting must be considered, if having no relief at all, it appears to have as much as sculpture!
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The difficulties in the study of the infinite arise because we attempt, with our finite minds, to discuss the infinite, assigning to it those properties which we give to the finite and limited; but this... Is wrong, for we cannot speak of infinite quantities as being the one greater or less than or equal to another.
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I cannot but be astonished that sarsi should persist in trying to prove by means of witnesses something that i may see for myself at any time by means of experiment. Witnesses are examined in doutbful matters which are past and transient, not in those which are actual and present. A judge must seek by means of witnesses to determine whether peter injured john last night, but not whether john was injured, since the judge can see that for himself.
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Philosophy itself cannot but benefit from our disputes, for if our conceptions prove true, new achievements will be made; if false, their refutation will further confirm the original doctrines.
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It vexes me when they would constrain science by the authority of the scriptures, and yet do not consider themselves bound to answer reason and experiment.
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The universe is a grand book which cannot be read until one first learns to comprehend the language and become familiar with the characters in which it is composed. It is written in the language of mathematics.
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I believe that the intention of holy writ was to persuade men of the truths necessary to salvation; such as neither science nor other means could render credible, but only the voice of the holy spirit.
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Their vain presumption of knowing all can take beginning solely from their never having known anything; for if one has but once experienced the perfect knowledge of one thing, and truly tasted what it is to know, he shall perceive that of infinite other conclusions he understands not so much as one.
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But, because my private lectures and domestic pupils are a great hinderance and intteruption of my studies, i wish to live entirely exempt from the former, and in great measure from the latter. ... In short, i should wish to gain my bread from my writings.
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And believe me, if i were again beginning my studies, i should follow the advice of plato and start with the mathematical sciences, which proceed very cautiously and admit nothing as established until it has been rigorously demonstrated.
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What ever the course of our lives, we should recieve them as the highest gift from the hand of god, in which equally reposed the power to do nothing whatever for us. Indeed, we should accept misfortune not only in thanks, but in infinite gratitude to providence, which by such means detaches us from an excessive love for earthly things and elevates our minds to the celestial and divine.
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One can understand nature only when one has learned the language and the signs in which it speaks to us; but this language is mathematics and these signs are methematical figures.
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It is necessary for the bible, in order to be accommodated to the understanding of every man, to speak many things which appear to differ from the absolute truth so far as the bare meaning of the words is concerned.
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